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Finding the Third Proportional to 4,818,840 and 6,424,272

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Solution

The third proportional to 4,818,840 and 6,424,272 is: 8,564,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818,840 : 6,424,272 = 6,424,272 : x
  2. Step 2: Convert to fraction form
    4,818,840/6,424,272 = 6,424,272/x
  3. Step 3: Cross multiply
    4,818,840x = 6,424,272 × 6,424,272
  4. Step 4: Simplify right side
    4,818,840x = 41,271,270,729,984
  5. Step 5: Solve for x
    x = 41,271,270,729,984/4,818,840
  6. Step 6: Final answer
    x = 8,564,565.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.